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Finding the Third Proportional to 24,776.63 and 52,755

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Solution

The third proportional to 24,776.63 and 52,755 is: 112,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776.63 : 52,755 = 52,755 : x
  2. Step 2: Convert to fraction form
    24,776.63/52,755 = 52,755/x
  3. Step 3: Cross multiply
    24,776.63x = 52,755 × 52,755
  4. Step 4: Simplify right side
    24,776.63x = 2,783,090,025
  5. Step 5: Solve for x
    x = 2,783,090,025/24,776.63
  6. Step 6: Final answer
    x = 112,327.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.